← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 4 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If x/6 + 3 = 7, what is x? (a) 4 (b) 39 (c) 60 (d) 24
  2. 2.If 5x − 1 = 19, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  3. 3.If 2x + 17 = 27, what is x? (a) 10 (b) 22 (c) 6 (d) 5
  4. 4.If 3x + 8 = x + 16, what is x? (a) 5 (b) 4 (c) 12 (d) 2
  5. 5.If 9x + 2 = 47, what is x? (a) 4 (b) 45 (c) 5 (d) 6
  6. 6.If x/3 + 1 = 6, what is x? (a) 15 (b) 17 (c) 21 (d) 5
  7. 7.If 3x + 25 = 37, what is x? (a) 5 (b) 3 (c) 4 (d) 12
  8. 8.If 6x + 12 = 3x + 36, what is x? (a) 9 (b) 16 (c) 10 (d) 8
  9. 9.If x/6 + 1 = 12, what is x? (a) 71 (b) 11 (c) 78 (d) 66
  10. 10.If 3x + 15 = 2x + 22, what is x? (a) 9 (b) 7 (c) 37 (d) 8
  11. 11.If x/2 + 3 = 12, what is x? (a) 30 (b) 9 (c) 21 (d) 18
  12. 12.If 3x − 1 = 8, what is x? (a) 9 (b) 3 (c) 4 (d) 2
  13. 13.If 8x + 3 = 6x + 19, what is x? (a) 9 (b) 10 (c) 8 (d) 11
  14. 14.If 2x + 7 = 13, what is x? (a) 4 (b) 3 (c) 10 (d) 6
  15. 15.If x/3 + 5 = 9, what is x? (a) 22 (b) 42 (c) 12 (d) 4
  16. 16.If x/4 + 13 = 25, what is x? (a) 152 (b) 87 (c) 48 (d) 12
  17. 17.If 3x − 7 = 23, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  18. 18.If 3x + 7 = x + 13, what is x? (a) 3 (b) 10 (c) 5 (d) 4
  19. 19.If x/6 + 12 = 23, what is x? (a) 126 (b) 11 (c) 66 (d) 210
  20. 20.If 7x + 19 = 2x + 34, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  21. 21.If 7x + 15 = 36, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  22. 22.If 3x − 3 = 39, what is x? (a) 12 (b) 14 (c) 42 (d) 15
  23. 23.If 4x + 8 = 68, what is x? (a) 60 (b) 15 (c) 16 (d) 19
  24. 24.If x/2 + 4 = 10, what is x? (a) 6 (b) 12 (c) 28 (d) 16
  25. 25.If 2x + 17 = 23, what is x? (a) 20 (b) 6 (c) 3 (d) 4
  26. 26.If 7x − 4 = 38, what is x? (a) 42 (b) 7 (c) 6 (d) 5
  27. 27.If 2x − 9 = 15, what is x? (a) 3 (b) 12 (c) 13 (d) 24
  28. 28.If 7x + 6 = 111, what is x? (a) 14 (b) 16 (c) 105 (d) 15
  29. 29.If 4x + 10 = 2x + 16, what is x? (a) 13 (b) 1 (c) 3 (d) 4
  30. 30.If 3x − 39 = 3, what is x? (a) 14 (b) 15 (c) 42 (d) 13
  31. 31.If 3x + 22 = 52, what is x? (a) 10 (b) 9 (c) 30 (d) 11
  32. 32.If 4x − 4 = 16, what is x? (a) 6 (b) 3 (c) 20 (d) 5
  33. 33.If 5x + 12 = 3x + 36, what is x? (a) 13 (b) 24 (c) 12 (d) 3
  34. 34.If 9x + 6 = 33, what is x? (a) 2 (b) 3 (c) 4 (d) 27
  35. 35.If 4x + 13 = 69, what is x? (a) 14 (b) 13 (c) 56 (d) 15
  36. 36.If x/3 + 5 = 11, what is x? (a) 18 (b) 6 (c) 48 (d) 28
  37. 37.If 5x + 6 = 3x + 24, what is x? (a) 10 (b) 15 (c) 11 (d) 9
  38. 38.If 8x − 103 = 1, what is x? (a) 13 (b) 12 (c) 104 (d) 14
  39. 39.If x/6 + 9 = 21, what is x? (a) 12 (b) 117 (c) 72 (d) 180
  40. 40.If x/3 + 4 = 8, what is x? (a) 4 (b) 20 (c) 12 (d) 36

Answer key

  1. 24
  2. 4
  3. 5
  4. 4
  5. 5
  6. 15
  7. 4
  8. 8
  9. 66
  10. 7
  11. 18
  12. 3
  13. 8
  14. 3
  15. 12
  16. 48
  17. 10
  18. 3
  19. 66
  20. 3
  21. 3
  22. 14
  23. 15
  24. 12
  25. 3
  26. 6
  27. 12
  28. 15
  29. 3
  30. 14
  31. 10
  32. 5
  33. 12
  34. 3
  35. 14
  36. 18
  37. 9
  38. 13
  39. 72
  40. 12

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad